# GMAT Math : Calculating percents

## Example Questions

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### Example Question #1 : Calculating Percents

330 is what percent of 11?      Explanation:

This problem can be solved by the equation: , where is the answer in terms of a percentage. To solve for both sides are divided by : . This can be simplified to: . Now is converted to a percentage to find the answer. as a percentage is ### Example Question #1 : Calculating Percents

Three years ago, Anum invested $25,000 in a new mutual fund account. The value of the account increased by 15% during the first year, increased by 7% during the second year, and decreased by 15% during the third year. What is the approximate value of the account today? Possible Answers:     Correct answer: Explanation: The first year increase of 15% can be represented as 1.15; the second year increase of 7% can be represented as 1.07; and the third year decrease of 15% can be represented as 0.85. Multiply the original investment by each annual change. 25,000(1.15)(1.07)(0.85) = 26,148 approx.$26,000

### Example Question #1 : Percents

Max the cat has 70 toy mice. If 30% of the mice are new, how many mice are not new?

30

60

21

49

40

49

Explanation:

If 30% of the mice are new, then 70% are not new. ### Example Question #1 : Percents

37% of the greatest common factor of 50 and 350 is      Explanation:

The greatest common factor of 50 and 350 is simply 50.  Now we must take 37% of 50. .

A shirt costs $60. The price was then increased by 30%. What is the new price as expressed in terms of the original price? Possible Answers:     Correct answer: Explanation: ### Example Question #1 : Percents A GMAT score increases from 450 to 540. By what percent did the score increase? Possible Answers:    Correct answer: Explanation: ### Example Question #1631 : Problem Solving Questions Out of 60 students, 15 prefer to study at night. What percent of students prefer nighttime studying? Possible Answers: 4% 15% 25% 60% Correct answer: 25% Explanation: Cross multiply Divide both sides by 60 ### Example Question #1 : Calculating Percents Geri earns a commission of 22.5% on everything she sells for KM Cosmetics. As of the fifteenth of the month, she has sold$2,100 worth of cosmetics. How much more in cosmetics must she sell in order to earn at least $900 commission for the month? Possible Answers: She has already sold enough to earn$900 commission.     Explanation:

Commission can be calculated by muliplying the commission rate - 22.5%, or 0.225 - by the amount of sales, so the amount of sales needed can be found by dividing the desired commission by 0.225. Since Geri has already sold \$2,100 worth of cosmetics, she needs to sell more.

### Example Question #1 : Calculating Percents

A number is multiplied by six; then its decimal point is moved to the left three spaces. This is the same as taking what percent of the number? % % % % % %

Explanation:

Let's do these two things to 100. Multiplying 100 by 6 yields 600; moving the decimal point three places left changes 600, or 600.0, to 0.60.

This means that the new number is 0.60% , or %, of the original number.

### Example Question #10 : Percents

A number is divided by two; then its decimal point is moved to the left two spaces. This is the same as taking what percent of the number? % % % % % %

Explanation:

Let's do these two things to 100. Dividing 100 by 2 yields 50; moving the decimal point two places left changes 50, or 50.0, to 0.50.

This means that the new number is 0.50% , or %, of the original number.

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